Generalized Skew Derivations with Power Central Values on Lie Ideals |
| |
| Authors: | Jui-Chi Chang |
| |
| Institution: | 1. Department of Computer Science and Information Engineering , Chang Jung Christian University , Tainan, Taiwan jc2004@mail.cjcu.edu.tw |
| |
| Abstract: | Let R be a prime ring with center Z and L a noncommutative Lie ideal of R. Suppose that f is a right generalized β-derivation of R associated with a β-derivation δ such that f(x) n ∈ Z for all x ∈ L, where n is a fixed positive integer. Then f = 0 unless dim C RC = 4. |
| |
| Keywords: | Automorphism Generalized polynomial identity (GPI) Generalized skew derivation Lie ideal Prime ring Skew derivation |
|
|
